Question

Natalie is filling cone-shaped party hats with candy and favors for her party guests. The hats she purchased have a height of 6 inches, and the base has a diameter of 5 inches. What is the approximate volume of one of the hats when you use 3.14 for pi?

Answer 1

The approximate volume of the cone-shaped party hat is 12.39 cubic inches.

Step-by-step explanation:

To find the volume of the cone-shaped party hat, we need to use the formula for the volume of a cone:

Volume = 1/3 π r2 h

Given that the base diameter is 5 inches, the radius is half of that, which is 2.5 inches. And the height is 6 inches. Plugging these values into the formula, we get:

Volume = 1/3 π (2.5)2 · 6

Calculating the volume, we get:

Volume = 1/3 π 6.25 · 6

Volume ≈ 12.39 cubic inches

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